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DESCENDING 5-4-3-2-1 CASCADE · CATALOG DSC21 (SEED 204621)

Descending Cascade Shoe DSC21: 81-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DSC21 (seed 204621) captures a tapering 5-4-3-2-1 column depths where every continuing row is covered by a taller reference column across 81 dealt 8-deck hands (35 Banker, 39 Player, 7 Tie). Its 32 logical Big Road columns occupy 32 display columns (C1:5B · C2:4P · C3:3B · C4:2P · C5:1B · C6:3P · C7:2B · C8:4P) and generate 68 Big Eye Boy marks (22R/46B), 64 Small Road marks (23R/41B), and 61 Cockroach Pig marks (46R/15B).

Verified 8-Deck Hands
81 (DSC21)
Outcome Split
35B / 39P / 7T
Peak Streaks
5B · 4P
Big Road Columns
32 Cols
Engine-Verified Scoreboard · 81 Hands

Read the Board at Table Speed

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Big Road B B B B P P P P B B P P B P P P B P P P P B P P B B P B B P P P B P B B B B P B B P P B P P P B B P P P B P P B B B P B B P P P B P P
Big Eye Boy = = = ≠ = = ≠ = ≠ ≠ ≠ = ≠ = ≠ = ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ = ≠ = ≠ = ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠
Small Road = = ≠ = ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ ≠ = ≠ ≠ = ≠ ≠ = ≠ ≠ = ≠ ≠ = = ≠ ≠ = = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ ≠ = ≠ ≠ = ≠ ≠ = ≠ ≠ =
Cockroach Pig = ≠ ≠ = = = = = ≠ = = ≠ ≠ = = = = ≠ = = = = = = ≠ ≠ = = = = ≠ ≠ = = = ≠ = = = = = = = ≠ = = ≠ ≠ = = = = ≠ = = = = = = = =

DSC21 (seed 204621): 81 hands (35B / 39P / 7T), peak streaks 5B & 4P across 32 logical columns.

Big Road B is Banker, P is Player Roads under it Red (=): repeating Blue (≠): breaking
Step-by-Step Mark Proofs (Rule 1 & Rule 2)
DSC21 Big Eye Boy Entry #5

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 3 goes down to Row 2, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

DSC21 Small Road Entry #2

This bead is at Row 3. Column 1 has a bead at Row 3 too → red (=).

  1. Column 3 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 has a bead at Row 3 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

DSC21 Cockroach Pig Entry #1

This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 1.
  2. Column 1 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

DSC21 8-Deck Hand Distribution
81 Hands (35 Banker / 39 Player / 7 Tie)

Seed 204621 opening column signature: C1:5B · C2:4P · C3:3B · C4:2P · C5:1B · C6:3P · C7:2B · C8:4P.

DSC21 Big Road Span & Max Streaks
Max 5B / Max 4P Across 32 Logical Cols (32 Display Cols)

When columns shrink by one bead each time, every downward step (Row 2 and below) sits beside an existing bead in the taller reference column to the left.

DSC21 Big Eye Boy Rule Breakdown
68 Marks (22R / 46B · 32.4% Red across 38 Display Cols)

Rule 1: 30 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 38.

DSC21 Small Road & Cockroach Pig Tally
SR: 23R/41B (35.9% Red) · CP: 46R/15B (75.4% Red)

Throughout the 5-4-3-2-1 cascade, 100% of Rule 2 marks are Red (=) under Case 1, whereas every Rule 1 mark at Row 1 of a new column is Blue (≠) due to unequal finished depths.

DSC21 Hand #82 Next-Hand Probe
If B → BEB blue, SR blue, CP red | If P → BEB red, SR red, CP blue

Computed by getNextRoadPredictions() after Hand #81 of DSC21.

DSC21 COLUMN GEOMETRY (DESCENDING-CASCADE)

DSC21 Scoreboard Structure: C1:5B · C2:4P · C3:3B · C4:2P · C5:1B · C6:3P · C7:2B · C8:4P

In catalog shoe DSC21 (seed 204621), 81 total hands resolve into 35 Banker wins, 39 Player wins, and 7 Ties across 32 logical columns (C1:5B · C2:4P · C3:3B · C4:2P · C5:1B · C6:3P · C7:2B · C8:4P). When columns shrink by one bead each time, every downward step (Row 2 and below) sits beside an existing bead in the taller reference column to the left.

Tracking DSC21 column by column shows peak runs of 5B and 4P spreading across 32 Big Road display columns: DSC21 records 30 Rule 1 new-column checks, 0 Rule 2 Case 1 covered-row checks, 0 Rule 2 Case 2 one-past-bottom breaks, and 38 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of DSC21 (Seed 204621)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DSC21-C01 (H1–H6)5B (BBBBB) [DSC21]5B/0P (+1T @DSC21-C1)DSC21 Row5 Stop (Col1)NextColVsDSC21-C1: 5v5
DSC21-C02 (H7–H10)4P (PPPP) [DSC21]5B/4P (+0T @DSC21-C2)DSC21 Row4 Stop (Col2)NextColVsDSC21-C1: 4v5
DSC21-C03 (H11–H14)3B (BBB) [DSC21]8B/4P (+1T @DSC21-C3)DSC21 Row3 Stop (Col3)NextColVsDSC21-C2: 3v4
DSC21-C04 (H15–H16)2P (PP) [DSC21]8B/6P (+0T @DSC21-C4)DSC21 Row2 Stop (Col4)NextColVsDSC21-C3: 2v3
DSC21-C05 (H17–H17)1B (B) [DSC21]9B/6P (+0T @DSC21-C5)DSC21 Row1 Stop (Col5)NextColVsDSC21-C4: 1v2
DSC21-C06 (H18–H20)3P (PPP) [DSC21]9B/9P (+0T @DSC21-C6)DSC21 Row3 Stop (Col6)NextColVsDSC21-C5: 3v1
DSC21-C07 (H21–H23)2B (BB) [DSC21]11B/9P (+1T @DSC21-C7)DSC21 Row2 Stop (Col7)NextColVsDSC21-C6: 2v3
DSC21-C08 (H24–H27)4P (PPPP) [DSC21]11B/13P (+0T @DSC21-C8)DSC21 Row4 Stop (Col8)NextColVsDSC21-C7: 4v2
DSC21-C09 (H28–H28)1B (B) [DSC21]12B/13P (+0T @DSC21-C9)DSC21 Row1 Stop (Col9)NextColVsDSC21-C8: 1v4
DSC21-C10 (H29–H30)2P (PP) [DSC21]12B/15P (+0T @DSC21-C10)DSC21 Row2 Stop (Col10)NextColVsDSC21-C9: 2v1
  • DSC21 BEB #5 (RED): verified at DSC21 lookback-1 index 4 (22R/46B total).
  • DSC21 SR #2 (RED): verified at DSC21 lookback-2 index 1 (23R/41B total).
  • DSC21 CP #1 (RED): verified at DSC21 lookback-3 index 0 (46R/15B total).
DSC21 DERIVED-ROAD & CUT-CARD PROBE

DSC21 Lookback Split (22R/46B BEB · 23R/41B SR · 46R/15B CP)

Throughout the 5-4-3-2-1 cascade, 100% of Rule 2 marks are Red (=) under Case 1, whereas every Rule 1 mark at Row 1 of a new column is Blue (≠) due to unequal finished depths. Across DSC21, Big Eye Boy prints 22 Red (32.4%) and 46 Blue marks, Small Road prints 23 Red (35.9%) and 41 Blue marks, and Cockroach Pig prints 46 Red (75.4%) and 15 Blue marks.

At the DSC21 cut card after Hand #81, probing Hand #82 via getNextRoadPredictions() yields Banker → BEB BLUE / SR BLUE / CP RED and Player → BEB RED / SR RED / CP BLUE for DSC21.

Table Reality Check

Myth vs. Truth

MythTapering columns in DSC21 mark Blue on the way down because each streak is shorter than the last.
TruthWhile moving down a shorter column in DSC21, the taller reference column still has a bead at every row visited (Rule 2 Case 1 Red =); only the Row 1 new-column check marks Blue (≠).
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

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Every reference guide, glossary definition, and road calculator on Baccarat Smart is open for everyone. When you want all 6 modules and 36 lessons (about 5.5 hours of lessons) organized in structured step-by-step order with 74 hands-on boards, 94 quiz checks along the way, and Cloud Shoe Log sync across web, iPhone, and Android, start Module 1 (10 lessons, about 64 minutes of lessons) free or unlock full membership for $25 a month.

  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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